Advanced Computational Design of Complex Nanostructured Photonic Devices Using High Order Discontinuous Galerkin Methods and Statistical Learning Global Optimization
摘要
Nanophotonics or nano-optics is a part of nanotechnology that investigates the behavior of light on nanometer scales as well as interactions of nanometer-sized objects with light. It is also considered a branch of electrical engineering, optics, and optical engineering. Nanophotonics has flourished in the past two decades because of a confluence of integrated advances in materials, nanofabrication, and modeling. Numerical modeling plays a crucial role in this context, in particular to unveil non-intuitive nanostructures or material nanostructuring for harvesting or shaping the interaction of light with matter on the nanoscale. In this contribution, we address this objective with an advanced computational framework that combines two main numerical ingredients: (1) high order Discontinuous Galerkin (DG) methods for solving the system of time-domain or frequency-domain Maxwell equations in 3D coupled to appropriate differential models of physical dispersion in photonic materials and, (2) one of the most efficient global optimization techniques that belongs to the class of Bayesian optimization. We present two applications of the resulting numerical methodology for the inverse design of an ultra-thin solar cell in the field of photovoltaics and a plasmonic metamaterial for sensing.